Orbit closures of representations of source-sink Dynkin quivers

Abstract

We use the geometric technique, developed by Weyman, to calculate the resolution of orbit closures of representations of Dynkin quivers with every vertex being source or sink. We use this resolution to derive the normality of such orbit closures. As a consequence we obtain the normality of certain orbit closures of type E.Comment: 11 pages, 3 figure